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Finding the Fourth Proportional to 4,047.42, 6,075.45 and 1,740.54

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Solution

The fourth proportional to 4,047.42, 6,075.45 and 1,740.54 is: 2,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.42 : 6,075.45 = 1,740.54 : x
  2. Step 2: Convert to fraction form
    4,047.42/6,075.45 = 1,740.54/x
  3. Step 3: Cross multiply
    4,047.42x = 6,075.45 × 1,740.54
  4. Step 4: Simplify right side
    4,047.42x = 10,574,563.74
  5. Step 5: Solve for x
    x = 10,574,563.74/4,047.42
  6. Step 6: Final answer
    x = 2,612.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.